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ZHONG, X.; ZOU, W. EXISTENCE OF INFINITELY MANY SOLUTIONS FOR SUBLINEAR ELLIPTIC PROBLEMS. Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 535-545. doi: 10.1017/S0017089512000146
@article{10_1017_S0017089512000146,
author = {ZHONG, X. and ZOU, W.},
title = {EXISTENCE {OF} {INFINITELY} {MANY} {SOLUTIONS} {FOR} {SUBLINEAR} {ELLIPTIC} {PROBLEMS}},
journal = {Glasgow mathematical journal},
pages = {535--545},
year = {2012},
volume = {54},
number = {3},
doi = {10.1017/S0017089512000146},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000146/}
}
TY - JOUR AU - ZHONG, X. AU - ZOU, W. TI - EXISTENCE OF INFINITELY MANY SOLUTIONS FOR SUBLINEAR ELLIPTIC PROBLEMS JO - Glasgow mathematical journal PY - 2012 SP - 535 EP - 545 VL - 54 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000146/ DO - 10.1017/S0017089512000146 ID - 10_1017_S0017089512000146 ER -
%0 Journal Article %A ZHONG, X. %A ZOU, W. %T EXISTENCE OF INFINITELY MANY SOLUTIONS FOR SUBLINEAR ELLIPTIC PROBLEMS %J Glasgow mathematical journal %D 2012 %P 535-545 %V 54 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000146/ %R 10.1017/S0017089512000146 %F 10_1017_S0017089512000146
[1] 1.Ambrosetti, A., Brezis, H. and Cerami, G., Combined effects of concave and convex nonlinearities in some elliptic problems, J. Funct. Anal. 122 (1994), 519–543. Google Scholar | DOI
[2] 2.Ambrosetti, A. and Badiale, M., The dual variational principle and elliptic problems with discontinuous nonlinearities, J. Math. Anal. Appl. 140 (1989), 363–373. Google Scholar | DOI
[3] 3.Bahri, A. and Berestycki, H., A perturbation method in critical point theory and applications, Trans. Amer. Math. Soc. 267 (1981) 1–31. Google Scholar | DOI
[4] 4.Bartsch, T. and Willem, M., On an elliptic equations with convex and concave nonlinearties, Proc. Amer. Math. Soc. 123 (1995), 3555–3561. Google Scholar | DOI
[5] 5.Chang, K. C., Infinite dimensional morse theory and multiple solution problems (Birkhäuser, 1993). Google Scholar | DOI
[6] 6.Courant, R. and Hilbert, D., Methods of mathematical physics, Vol. I (Inerscience, New York, 1953). Google Scholar
[7] 7.Garcia Azorero, J. and Peral, I.Alonso, Multiplicity of solutions for elliptic problems with critical exponent or with a nonsymmetric term, Trans. Amer. Math. Soc. 323 (1991), 877–895. Google Scholar | DOI
[8] 8.Hirano, N., Existence of infinitely many solutions for sublinear elliptic problems, J. Math. Anal. Appl. 218 (2003), 83–92. Google Scholar | DOI
[9] 9.Kajikiya, R., Non-radial solutions with group invariance for the sublinear Emden-Fowler equation, Nonlinear Anal. 28 (2002), 567–597. Google Scholar
[10] 10.Spanier, E., Algebraic topology (McGraw-Hill, New York, 1966). Google Scholar
[11] 11.Wang, Z. Q., Nonlinear boundary value problems with concave nonlinearities near the origin, Nonlinear differ. equ. appl., 8 (2001) 15–33. Google Scholar | DOI
[12] 12.Willem, M., Minimax theorems (Birkhäuser, 1996). Google Scholar | DOI
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